SOLUTION: Please help me solve this problem. Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the

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Question 1167582: Please help me solve this problem.
Two vehicles, a car and a truck, leave an intersection at the same time. The car heads east at an average speed of 30 miles per hour, while the truck heads south at an average speed of 70 miles per hour. Find an expression for their distance apart d(in miles) at the end of t hours.
At the end of t hours, the two vehicles are ... miles apart.

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

In t hours, the car covers the distance t times 30 miles, or  30*t miles east.


In t hours, the truck covers the distance t times 70 miles, or  70*t miles south.


The directions are perpendicular, and the current distance between the vehicles is the hypotenuse of the right triangle.


Therefore,  d = sqrt%28%2830t%29%5E2+%2B+%2870t%29%5E2%29 = sqrt%28900t%5E2+%2B+4900t%5E2%29 = sqrt%285800t%5E2%29 = t%2Asqrt%285800%29 = 76.158*t miles (rounded).


This formula is your ANSWER.